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Finding the Third Proportional to 352,224 and 743,328

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Solution

The third proportional to 352,224 and 743,328 is: 1,568,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,224 : 743,328 = 743,328 : x
  2. Step 2: Convert to fraction form
    352,224/743,328 = 743,328/x
  3. Step 3: Cross multiply
    352,224x = 743,328 × 743,328
  4. Step 4: Simplify right side
    352,224x = 552,536,515,584
  5. Step 5: Solve for x
    x = 552,536,515,584/352,224
  6. Step 6: Final answer
    x = 1,568,707.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.